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A Class of Solutions for Group Decision Problems
Abstract
Given a set of utility functions defined on a decision space for a group of individuals, we introduce the concept of utopia point for the group as well as the group regret of a feasible decision. The group regret of a decision varies with a class of distance functions. The class of solutions under study are those which minimize the group regret according to the class of distance functions. We investigate its properties from!he viewpoint of decision rationale. The bounds and monotonicity of the solutions together with their computation are also explored.
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Cited by
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Introduction to Multiobjective Optimization: Noninteractive Approaches
Miettinen, K. (2008) · Lecture Notes in Computer Science · doi:10.1007/978-3-540-88908-3_1 · Cited by 270
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Kao, C. (2010) · Applied Mathematical Modelling · doi:10.1016/j.apm.2009.09.022 · Cited by 190
Garcia, S., Cintra, Y., Torres, R. D. C. S. R., & Lima, F. G. (2016) · Journal of Cleaner Production · doi:10.1016/j.jclepro.2016.01.110 · Cited by 162
Metadata
- Authors
- Yu, P. L.
- Venue
- Management Science
- Published
- 1973-04
- Volume
- 19
- Issue
- 8
- Pages
- 936-946
- ISSN
- 0025-1909 (ISSN-L)
- 1526-5501
- OpenAlex
- W2057178439
- Cited by
- 1,097
- References
- 0
- FWCI
- 11.22
- Type
- journal article
- Language
- en
- Open access
- closed
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- Yu, P. L. (1973). A Class of Solutions for Group Decision Problems. Management Science. https://doi.org/10.1287/mnsc.19.8.936
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